Finite groups of automorphisms of free groups

DOI10.1007/BF01163707zbMath0595.20036MaRDI QIDQ1077542

D. G. Khramtsov

Publication date: 1985

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

automorphism group of free groupsfinite abelian subgroupsfinite maximal subgroups

Mathematics Subject Classification ID

Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Free nonabelian groups (20E05)

Related Items (14)

Finite subgroups of groups of outer automorphisms of free groups ⋮ Actions of finite groups of graphs and related automorphisms of free groups ⋮ Subgroup Decomposition in 𝖮𝗎𝗍(𝖥_{𝗇}) ⋮ Automorphic orbits in free groups. ⋮ Abelian covers of graphs and maps between outer automorphism groups of free groups. ⋮ Realisation and dismantlability ⋮ Finite groups of outer automorphisms of free groups ⋮ Nielsen realization by gluing: limit groups and free products ⋮ Quasi‐geodesics in Out(Fn) and their shadows in sub‐factors ⋮ A uniqueness decomposition theorem for actions of finite groups on free groups ⋮ Generalized Baumslag-Solitar groups: rank and finite index subgroups ⋮ Groups of automorphisms of finite regular cubic graphs ⋮ On the maximum order of torsion elements in \(GL(n,\mathbb{Z})\) and \(\text{Aut}(F_n)\) ⋮ Convexity of balls in outer space

Cites Work

• A Characterization of Periodic Automorphisms of a Free Group
• Finite and infinite cyclic extensions of free groups

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